Geodesic
On a low Mach nuclear core model
Stéphane Dellacherie1
1 CEA, DEN/DM2S, Gif sur Yvette, 91191, France
ESAIM. Proceedings, Tome 35 (2012), pp. 79-106.

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We propose to formally derive a low Mach number model adapted to the modeling of a water nuclear core (e.g. of PWR- or BWR-type) in the forced convection regime or in the natural convection regime by filtering out the acoustic waves in the compressible Navier-Stokes system. Then, we propose a monodimensional stationary analytical solution with regular and singular charge loss when the equation of state is a stiffened gas equation. Moreover, we show that this solution may not be admissible from a physical or a mathematical point of view for a particular choice of the mass flux and we study the consistency between this solution and the solution obtained from a Boussinesq approximation. Let us underline that the modeling of the nuclear core is simplified in this paper. For example, the flow is a single-phase flow and we do not model neither the porosity nor the turbulence. Nevertheless, it will be possible to enrich the modeling in the future.
DOI : 10.1051/proc/201235005

Stéphane Dellacherie 1

1 CEA, DEN/DM2S, Gif sur Yvette, 91191, France 
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Stéphane Dellacherie. On a low Mach nuclear core model. ESAIM. Proceedings, Tome 35 (2012), pp. 79-106. doi : 10.1051/proc/201235005. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235005/

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